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Finding the Fourth Proportional to 251.83, 377.71 and 69.24

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Solution

The fourth proportional to 251.83, 377.71 and 69.24 is: 103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.83 : 377.71 = 69.24 : x
  2. Step 2: Convert to fraction form
    251.83/377.71 = 69.24/x
  3. Step 3: Cross multiply
    251.83x = 377.71 × 69.24
  4. Step 4: Simplify right side
    251.83x = 26,152.64
  5. Step 5: Solve for x
    x = 26,152.64/251.83
  6. Step 6: Final answer
    x = 103.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.